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<a href="mandelbrot_8cl.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * This confidential and proprietary software may be used only as</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * authorised by a licensing agreement from ARM Limited</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *    (C) COPYRIGHT 2013 ARM Limited</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *        ALL RIGHTS RESERVED</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * The entire notice above must be reproduced on all authorised</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * copies and copies may only be made to the extent permitted</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> * by a licensing agreement from ARM Limited.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> * The number of iterations before we assume a point is in the Mandelbrot set.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * Increasing this value has no effect since as we are returning the output as unsigned chars,</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> * 255 is the maximum value that can be returned.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"><a class="code" href="mandelbrot_8cl.html#acd517c6f195c75b9dd0f3aad65326f3b">   16</a></span>&#160;<span class="preprocessor">#define MAX_ITER 255</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00023"></a><span class="lineno"><a class="code" href="mandelbrot_8cl.html#a4dffa8ed5ea4612c75f705e514351c4a">   23</a></span>&#160;float4 <a class="code" href="mandelbrot_8cl.html#a4dffa8ed5ea4612c75f705e514351c4a" title="Create a float4 containing the x positions of x and the 3 adjacent pixels.">createStartX</a>(<span class="keywordtype">int</span> x)</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;{</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keywordflow">return</span> (float4)(x, x + 1, x + 2, x + 3);</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;}</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="code" href="mandelbrot_8cl.html#aa9c49529b3f34c7675aedea1b068ef9a">   41</a></span>&#160;__kernel <span class="keywordtype">void</span> <a class="code" href="mandelbrot_8cl.html#aa9c49529b3f34c7675aedea1b068ef9a" title="Mandelbrot kernel function.">mandelbrot</a>(__global uchar* restrict output,</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                         <span class="keyword">const</span> <span class="keywordtype">int</span> width,</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                         <span class="keyword">const</span> <span class="keywordtype">int</span> height)</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;{</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="comment">/* [Kernel size] */</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="comment">/*</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">     * Each kernel calculates 4 output pixels in the same row (hence the &#39;* 4&#39;).</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">     * x is in the range [0, width] in steps of 4.</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment">     * y is in the range [0, height].</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keywordtype">int</span> x = get_global_id(0) * 4;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keywordtype">int</span> y = get_global_id(1);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="comment">/* [Kernel size] */</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="comment">/* [Create inputs] */</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="comment">/*</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="comment">     * Calculate the coordinates of the four pixels in the real and imaginary space.</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="comment">     * Scale the coordinates by the height and width such that the same image is produced for all values, just at different resolutions.</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">     * The real coordinate is scaled to the range [0, 2.5] (using &#39;/ width * 2.5f&#39;) and then shifted to be in the range [-2, 0.5] (using &#39;-2&#39;).</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">     * The imaginary coordinate is scaled to the range [0, 2] (using &#39;/ ((float) height) * 2&#39; and then shifted to be in the range [-1, 1] (using &#39;-1&#39;).</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="comment">     * The resulting ranges ([-2, 0.5], [-1, 1]) are the limits of the interesting parts of the Mandelbrot set.</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">     * Four pixels (adjacent in x (real) dimension) are calulated per kernel instance. Therefore, we calculate real coordinates for 4 pixels.</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    float4 initialReal = -2 + (<a class="code" href="mandelbrot_8cl.html#a4dffa8ed5ea4612c75f705e514351c4a" title="Create a float4 containing the x positions of x and the 3 adjacent pixels.">createStartX</a>(x) / (float)width * 2.5f);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    float4 initialImaginary = -1 + (y / (float)height * 2);</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    float4 real = initialReal;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    float4 imaginary = initialImaginary;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="comment">/* [Create inputs] */</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="comment">/* This will store the number of iterations for each of the four pixels */</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    int4 iterationsPerPixel = (int4)(0, 0, 0, 0);</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="comment">/* Total number of iterations for this kernel instance. */</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keywordtype">int</span> iterations = 0;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    int4 mask;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="comment">/* [Calculation] */</span></div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="comment">/*</span></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="comment">     * Loop until we can say that all pixels are not part</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="comment">     * of the Mandelbrot set or the maximum number of</span></div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="comment">     * iterations has been reached.</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keywordflow">do</span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        iterations++;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (iterations &gt; <a class="code" href="mandelbrot_8cl.html#acd517c6f195c75b9dd0f3aad65326f3b">MAX_ITER</a>)</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        {</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="comment">/* Backup the real value as its used in both calculations but changed by the first. */</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        float4 oldReal = real;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">/* Evaluate the equation. */</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        real = real * real - imaginary * imaginary + initialReal;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        imaginary = 2 * oldReal * imaginary + initialImaginary;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">/*</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">         * Calculate which indices to update.</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="comment">         * Mathematically, if the result of the calculation becomes greater that 2, it will continue to infinity.</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="comment">         * Therefore, if the result becomes greater than 2 it cannot be part of the Mandelbrot set and we stop adding to it&#39;s iteration count.</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="comment">         * To get the absolute value of the calculation we have squared and added the components, therefore we must test it against</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment">         * 4 (2 squared).</span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="comment">         */</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        float4 absoluteValue = real * real + imaginary * imaginary;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="comment">/* For vector input isless(x, y) returns -1 per component if x &lt; y. */</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        mask = isless(absoluteValue, (float4) 4.0f);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="comment">/* Increase the iterations per pixel (if they are less than 4). */</span></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        iterationsPerPixel -= mask;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    } <span class="keywordflow">while</span>(any(mask));</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="comment">/* [Calculation] */</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="comment">/* [Store] */</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="comment">/*</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">     * Write the result to the output buffer.</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment">     * Convert the output to unsigned char to make it easier to write to a bitmap.</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    vstore4(convert_uchar4(iterationsPerPixel), 0, output + x + y * width);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="comment">/* [Store] */</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;}</div>
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